Step |
Hyp |
Ref |
Expression |
1 |
|
sssucid |
|
2 |
|
id |
|
3 |
|
id |
|
4 |
3
|
simpld |
|
5 |
|
id |
|
6 |
|
trel |
|
7 |
6
|
3impib |
|
8 |
7
|
idiALT |
|
9 |
2 4 5 8
|
syl3an |
|
10 |
1 9
|
sseldi |
|
11 |
10
|
3expia |
|
12 |
4
|
adantr |
|
13 |
|
id |
|
14 |
13
|
adantl |
|
15 |
12 14
|
eleqtrd |
|
16 |
1 15
|
sseldi |
|
17 |
16
|
ex |
|
18 |
17
|
adantl |
|
19 |
3
|
simprd |
|
20 |
|
elsuci |
|
21 |
19 20
|
syl |
|
22 |
21
|
adantl |
|
23 |
11 18 22
|
mpjaod |
|
24 |
23
|
ex |
|
25 |
24
|
alrimivv |
|
26 |
|
dftr2 |
|
27 |
26
|
biimpri |
|
28 |
25 27
|
syl |
|